论文标题
在弱的非恒定磁场中，狄拉克型交叉附近的光谱分析
Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field
论文作者
论文摘要
这是在弱磁场弱的情况下，我们研究了PEIERLS取代的三个论文。在这里，我们处理两个具有圆锥形交叉的$ 2D $ bloch特征值。事实证明，在存在几乎恒定的弱磁场的情况下，交叉点附近的光谱会形成缝隙，使人想起有效的无质量磁性狄拉克操作员的兰道水平。
This is the last paper in a series of three in which we have studied the Peierls substitution in the case of a weak magnetic field. Here we deal with two $2d$ Bloch eigenvalues which have a conical crossing. It turns out that in the presence of an almost constant weak magnetic field, the spectrum near the crossing develops gaps which remind of the Landau levels of an effective mass-less magnetic Dirac operator.
